Find the value of MN if AB=18 cm, BC=14.4 cm, and LM=24 cm ABCD~LMNO

The equivalent z-score for a raw score of 115 under a normal distribution with a mean of 100 and a standard deviation of 15 is 1.

Under the normal distribution, if the mean of the distribution of raw scores is equal to 100 and the standard deviation is known, we can use the z-score formula to calculate the equivalent z-score for any given raw score.

The z-score formula is given by:

z = (x - μ) / σ

where x is the raw score, μ is the mean of the distribution, σ is the standard deviation of the distribution, and z is the corresponding z-score.

Since the mean of the distribution is 100, we have μ = 100. To calculate the z-score, we need to know the standard deviation of the distribution or have information about the distance of the raw score from the mean in terms of standard deviations.

If we assume that the standard deviation is 15, which is a common value used in educational testing, and the raw score is 115, then the corresponding z-score would be:

z = (115 - 100) / 15 = 1

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Check the picture below.

so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.

\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)

now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.

So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark  happened between 0 and 5 seconds.

Answer:

0.01m=10km

25m=25000km

1m=1000km

0.0015m=1.5km

If this is incorrect forgive me plz

I hope this will help you

Answer:

  -3, 0, 5

Step-by-step explanation:

You want the zeros of P(x) = x³ − 2x² − 15x using the factored form.

We notice right away that x is a factor of every term. Factoring that out gives us a quadratic to factor:

  P(x) = x(x² -2x -15)

To factor this, we need two factors of -15 that have a sum of -2. The factors -5 and +3 have those properties. That means our factored form is ...

  P(x) = x(x +3)(x -5) . . . . factored form

This product will be zero when any of its factors is zero. Considering them one at a time, we find the zeros of P(x) to be ...

  x = 0

  x +3 = 0   ⇒   x = -3

  x -5 = 0   ⇒   x = 5

The zeros of P(x) are -3, 0, 5.

For the function, the x-intercept of g(x) is at (5,0).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

Given f(x) = ln(x)

and g(x) = -f(x - 4)

the function is

g(x) = -ln(x - 4)

when x = 5

g(x) = -ln(5 - 4)

g(x) = -ln1

g(x) = 0

the coordinates are (5, 0)

Hence the x-intercept is (5, 0).

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The answer to this is 16

Answer:

5216.844

Step-by-step explanation:

Let x be the fourth number.

We know that the sum of the four numbers is 20500:

2341.578 + 10690 + x + 2341.578 = 20500

Simplifying and solving for x:

x = 20500 - 2341.578 - 10690 - 2341.578

x = 5216.844

to solve for m

distribute into parentheses

176 = -16 - 24m

get m on one side

176 + 16 = -24m

192 = -24m

divide by -24

-8 = m

m = -8

Answer:

n=-4.9

Step-by-step explanation:

If you want me to explain it, let me know in the comments.

Answer:

-4.9

Step-by-step explanation:

just trust trust me

Answer:16x16

Step-by-step explanation:

The experimental probability of tossing a 3 is 22% ( option D).

Experimental probability, which is also known as Empirical probability, is based on actual experiments and adequate recordings of the occurring of events. An experiment can be repeated a fixed number of times and each repetition is known as a trial. The formula for the experimental probability is defined by;

Probability of an Event P(E) = Number of times an event occurs / Total number of events

From the table it is visible that the occurrence of tossing 3 is 11 times.

So by the definition of experimental probability the possibility is 11/50

As the table given is the result for tossing a number cube 50 times.

In 50 times the possibility is 11

In 1 time the possibility is 11/50

In 100 times the possibility is (11×100)/50

                                              = 22

Hence, the experimental probability of tossing a 3 is 22%.

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The individual that will be paying the most for their purchase is: B.edgar paid with a credit card and paid the minimum payment each month

The individual that will pay the most according to the data provided is Edgar. Edgar's payment is spread out to the longest length of time. So, he will have to pay the added dues for extending his payment.

Usually, the person who pays cash pays the least amount while the person who pays in installments is charged for additional time spent in making the payment.

Complete Question:

Each of the following people bought a watch that costs $300. Which of the following people will pay the most for their purchase A.Sarah paid cash B.edgar paid with a credit card and paid the minimum payment each month C.susan paid with a credit card and paid the minimum payment plus 30 each month D. Sean paid with a credit card and paid the full balance the first of the month

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The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Answer:

its 1 4/5 = 2/5 + r

Step-by-step explanation:

The distance in miles that Madison needs to run is \(1 \frac{2}{5}\) miles.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Madison Plans to walk and run a total of \(1\frac{4}{5}\) =9/5 miles on a treadmill.

Let r be the distance in miles that Madison needs to run.

Now, the equation is

2/5 +r =9/5

r= 9/5 - 2/5

r =7/5

r = \(1 \frac{2}{5}\) miles

Therefore, the distance in miles that Madison needs to run is \(1 \frac{2}{5}\) miles.

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Answer:

the probability that at least one of the girls (Piper and Sedona) get to go to the show is 0.533

Step-by-step explanation:

The computation of the probability that have at least one of the girl get to go is shown below;

\(= \frac{^2C_1 \times ^4C_1}{^6C_2} \\\\= \frac{8}{15}\\\\= 0.53333\)

Hence, the probability that at least one of the girls (Piper and Sedona) get to go to the show is 0.533

So the same is relevant

Probability that at least one of the girls (Piper and Sedona) get to go to the show = 1/5

The number of grandchildren = 6

The number of girls = 2

Two grandkids out of 6 are to be selected

Number of ways of choosing 2 grandkids out of 6 is 6C2

\(6C2=\frac{6!}{(6-2)!2!} \\\\6C2=\frac{6!}{4! \times 2!} \\\\6C2 = 15\)

Number of ways of selecting 2 grandkids out of 6 = 15 ways

Number of ways  of selecting 1 out of the two girls =2C1

\(2C1= 2\)

Number of ways of selecting 1 out of the two girls = 2 ways

Number of ways of selecting of selecting both girls =2C2

Number of ways of selecting of selecting both girls = 1 way

Probability of selecting 1 out of the two grandkids = 1/15

Probability of selecting both girls = 2/15

Probability that at least one of the girls (Piper and Sedona) get to go to the show = 1/15 + 2/15

probability that at least one of the girls (Piper and Sedona) get to go to the show = 3/15

Probability that at least one of the girls (Piper and Sedona) get to go to the show = 1/5

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Answer:

8

Step-by-step explanation:

Answer:

x  =  450 m

y =  900 m

P (min)  = 1800 m

Step-by-step explanation:

Let´s call   "x"  and  "y" de sides of the rectangular garden, y is the side parallel to the river ( that is it will be fenced only one )

Then:

2*x + y = P        ( perimeter of the area)

And   x * y  = 405000 m²

y = 405000/ x

And P as a function of x is:

P(x) = 2*x +  405000/x

Tacking derivatives relative to x on both sides of the equation.

P´(x)  = 2  - 405000/x²

P´(x) =  0      2*x²  - 405000 = 0

x²  = 202500

x = 450 m

And y =  405000 / 450

y = 900 m

And

P(min) = 2*450 + 900

P(min) = 1800 m

We know P is minimm at x =450 snce the second derivative of P

P´´(x) = 405000*2*x / x⁴   is always positive

Answer:

The answer is D

Step-by-step explanation:

The 4w^2 stays the same because there are no like factors, then you add the 5w and 3w then get 8w...-1+ (-2) is -3

The polynomial that represents the area in square feet will be 20w³ + 7w² - 11w + 2. Then the correct option is B.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed.

A mortgage holder is building a blossom bed on the lawn. He intends to put a layer of compost over the whole bloom bed. The chart shows the blossom bed and its aspects in feet.

4w² + 3w - 1 and 5w - 2

The polynomial that represents the area in square feet will be given as,

⇒ (4w² + 3w - 1) x (5w - 2)

⇒ 20w³ + 15w² - 5w - 8w² - 6w + 2

⇒ 20w³ + 7w² - 11w + 2

The polynomial that represents the area in square feet will be 20w³ + 7w² - 11w + 2. Then the correct option is B.

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Answer:

The point estimate for the proportion of cell phone owners aged 18-24 who have an Android phone is 0.4137.

Step-by-step explanation:

The point estimate is the sample proportion.

Sample proportion:

103 out of 249, so:

\(p = \frac{103}{249} = 0.4137\)

The point estimate for the proportion of cell phone owners aged 18-24 who have an Android phone is 0.4137.

Answer:

Greatest number which divides 6168 is 3084,the greatest number which divides 2447 is1223.5 , and the greatest number which divides 3118 is 1559.

Answer:

see below and attachment

Step-by-step explanation:

a=30°

because, the marked angle of 30° is an alternate interior angle to angle a.  Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.

b=50°

because the marked angle of 50° is a vertical angle to angle b.  Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.

c=50°

because the marked angle of 50° is a corresponding angle (same side angle) to angle c.  These corresponding angles are congruent because the 2 horizontal lines are parallel.

d=100°

because the 3 interior angles of a triangle must add up to 180°.  We have 30°, 50°, so the last angle must be 100°.  We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°.  We have angle a as 30°, angle c as 50°, so angle d must be 100°.

Hope this helps!  See attachment for visual.

Answer:

You can make 14 with some ribbon left over.

Step-by-step explanation:

answer is D i just took the test and i got it right

Answer:

Yess

Step-by-step explanation:

If you multiply all the numbers together you get 39690000. And the square root of that number is 6300. So it is a perfect square. If you did 6300² = 39690000.

Answer:

A. f(x)=5cos(x+pi/4)

F. f(x)=5sin(x+3pi/4)

Step-by-step explanation:

Answer: 1. A, F

2. B. C , F

3.A,C

Step-by-step explanation:I just finished the practice

Answer:

Answer B and C

Step-by-step explanation:

Z is the center of the circle passing through H,G,J:

HZ=85=ZG=ZJ ==> ZJ=85 : B is true

HK=KG=136/2=68: C is true.

The two options that are true are ZK = JL and ZL = JM.

The given information is that ZK, ZL, and ZM are perpendicular bisectors of AGHJ. This means that ZK, ZL, and ZM each bisect one of the sides of triangle AGHJ and form a right angle with that side.

In triangle AGJ, ZK is the perpendicular bisector of AG, so ZK = JL.

In triangle AHJ, ZL is the perpendicular bisector of AH, so ZL = JM.

The other two options are not true. ZK = GH is not true because ZK is the perpendicular bisector of AG, not GH. ZM = MG is not true because ZM is the perpendicular bisector of AH, not MG.

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